2.2 geometry i need the answers

To answer this question, you need to know that a quarter is worth $0.25 and dimes worth $0.10. In this case, the total number of money that made from quarters and dimes is $2.80
With Q=quarter and D=dime, then the equation should be:
2.80= 0.25 Q + 0.10 D

The condition that needs to be fulfilled in this case is that the quarter should be 8 more than dimes. Then you need to find out the highest possible number of the quarter and lowest possible number of the dimes.
If you divide 2.8 with 0.25 you will found it will be 11.2 but 11 quarter will result with 0.05 value which you cannot remove, so the highest possible of the quarter should be 10.
If the highest possible of the quarter is 10, then the lowest possible of dimes should be:
2.8= 0.25(10) + 0.10D
0.10D= 0.3
D=3

Since 10-3 is 7, then it is not possible for the quarter to be 8 more than the dimes.

4 0

2 years ago

Unit 3 parallel and perpendicular lines homework 4 parallel line proofs

Alex17521 [72]

Answer:

1) c ║ d by consecutive interior angles theorem

2) m∠3 + m∠6 = 180° by transitive property

3) ∠2 ≅ ∠5 by definition of congruency

4) t ║ v ${}$ Corresponding angle theorem

5) ∠14 and ∠11 are supplementary ${}$ Definition of supplementary angles

6) ∠8 and ∠9 are supplementary ${}$ Consecutive interior angles theorem

Step-by-step explanation:

1) Statement ${}$ Reason

m∠4 + m∠7 = 180° ${}$ Given

m∠4 ≅ m∠6 ${}$ Vertically opposite angles

m∠4 = m∠6 ${}$ Definition of congruency

m∠6 + m∠7 = 180° ${}$ Transitive property

m∠6 and m∠7 are supplementary ${}$ Definition of supplementary angles

∴ c ║ d ${}$ Consecutive interior angles theorem

2) Statement ${}$ Reason

m∠3 = m∠8 ${}$ Given

m∠8 + m∠6 = 180° ${}$ Sum of angles on a straight line

∴ m∠3 + m∠6 = 180° ${}$ Transitive property

3) Statement ${}$ Reason

p ║ q ${}$ Given

∠1 ≅ ∠5 ${}$ Given

∠1 = ∠5 ${}$ Definition of congruency

∠2 ≅ ∠1 ${}$ Alternate interior angles theorem

∠2 = ∠1 ${}$ Definition of congruency

∠2 = ∠5 ${}$ Transitive property

∠2 ≅ ∠5 ${}$ Definition of congruency.

4) Statement ${}$ Reason

∠1 ≅ ∠5 ${}$ Given

∠3 ≅ ∠4 ${}$ Given

∠1 = ∠5 ${}$ Definition of congruency

∠3 = ∠4 ${}$ Definition of congruency

∠5 ≅ ∠4 ${}$ Vertically opposite angles

∠5 = ∠4 ${}$ Definition of congruency

∠5 = ∠3 ${}$ Transitive property

∠1 = ∠3 ${}$ Transitive property

∠1 ≅ ∠3 ${}$ Definition of congruency.

t ║ v ${}$ Corresponding angle theorem

5) Statement ${}$ Reason

∠5 ≅ ∠16 ${}$ Given

∠2 ≅ ∠4 ${}$ Given

∠5 = ∠16 ${}$ Definition of congruency

∠2 = ∠4 ${}$ Definition of congruency

EF ║ GH ${}$ Corresponding angle theorem

∠14 ≅ ∠16 ${}$ Corresponding angles

∠14 = ∠16 ${}$ Definition of congruency

∠5 = ∠14 ${}$ Transitive property

∠5 + ∠11 = 180° ${}$ Sum of angles on a straight line

∠14 + ∠11 = 180° ${}$ Transitive property

∠14 and ∠11 are supplementary ${}$ Definition of supplementary angles

6) Statement ${}$ Reason

l ║ m ${}$ Given

∠4 ≅ ∠7 ${}$ Given

∠4 = ∠7 ${}$ Definition of congruency

∠2 ≅ ∠7 ${}$ Alternate angles

∠2 = ∠7 ${}$ Definition of congruency

∠2 = ∠4 ${}$ Transitive property

∠2 ≅ ∠4 ${}$ Definition of congruency

∠2 and ∠4 are corresponding angles ${}$ Definition

DA ║ EB ${}$ Corresponding angle theorem

∠8 and ∠9 are consecutive interior angles ${}$ Definition

∠8 and ∠9 are supplementary ${}$ Consecutive interior angles theorem.

6 0

3 years ago

HELP ME PLEASEEEEE I WILL GIVE THE BRAINLY THING

Nadya [2.5K]

The answer is C. 71. You add up all the numbers to get 355. and then you divide by the amount of numbers there are. there are 5 numbers so you do 355/5 to get 71.

3 0

2 years ago